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Finding the Fourth Proportional to 291.28, 437.23 and 147

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Solution

The fourth proportional to 291.28, 437.23 and 147 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.28 : 437.23 = 147 : x
  2. Step 2: Convert to fraction form
    291.28/437.23 = 147/x
  3. Step 3: Cross multiply
    291.28x = 437.23 × 147
  4. Step 4: Simplify right side
    291.28x = 64,273.18
  5. Step 5: Solve for x
    x = 64,273.18/291.28
  6. Step 6: Final answer
    x = 220.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.